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Limits Continuity And Differentiability - Calculus - Mathematics Previous Year Questions
Practice Limits Continuity And Differentiability - Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
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159Questions
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| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| MHT CET 2026 11th April Evening Shift | 2026 | 2 | View paper |
| MHT CET 2026 11th April Morning Shift | 2026 | 2 | View paper |
| MHT CET 2026 13th April Evening Shift | 2026 | 3 | View paper |
| MHT CET 2026 13th April Morning Shift | 2026 | 2 | View paper |
| MHT CET 2026 15th April Evening Shift | 2026 | 2 | View paper |
| MHT CET 2026 15th April Morning Shift | 2026 | 2 | View paper |
| MHT CET 2026 16th April Evening Shift | 2026 | 2 | View paper |
| MHT CET 2026 16th April Morning Shift | 2026 | 2 | View paper |
| MHT CET 2026 17th April Evening Shift | 2026 | 1 | View paper |
| MHT CET 2026 17th April Morning Shift | 2026 | 2 | View paper |
| MHT CET 2026 18th April Evening Shift | 2026 | 2 | View paper |
| MHT CET 2026 18th April Morning Shift | 2026 | 2 | View paper |
| MHT CET 2026 19th April Evening Shift | 2026 | 2 | View paper |
| MHT CET 2026 19th April Morning Shift | 2026 | 2 | View paper |
| MHT CET 2026 20th April Evening Shift | 2026 | 2 | View paper |
| MHT CET 2026 20th April Morning Shift | 2026 | 2 | View paper |
| MHT CET 2025 19TH APRIL EVENING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 19TH APRIL MORNING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 20TH APRIL EVENING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 20TH APRIL MORNING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 21ST APRIL EVENING SHIFT | 2025 | 3 | View paper |
| MHT CET 2025 21ST APRIL MORNING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 22ND APRIL EVENING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 22ND APRIL MORNING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 23RD APRIL EVENING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 23RD APRIL MORNING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 25TH APRIL EVENING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 25TH APRIL MORNING SHIFT | 2025 | 3 | View paper |
| MHT CET 2025 26TH APRIL EVENING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 26TH APRIL MORNING SHIFT | 2025 | 2 | View paper |
| MHT CET 2025 5TH MAY EVENING SHIFT | 2025 | 2 | View paper |
| MHT CET 2024 10TH MAY EVENING SHIFT | 2024 | 2 | View paper |
| MHT CET 2024 10TH MAY MORNING SHIFT | 2024 | 2 | View paper |
| MHT CET 2024 11TH MAY EVENING SHIFT | 2024 | 3 | View paper |
| MHT CET 2024 11TH MAY MORNING SHIFT | 2024 | 3 | View paper |
| MHT CET 2024 15TH MAY EVENING SHIFT | 2024 | 2 | View paper |
| MHT CET 2024 15TH MAY MORNING SHIFT | 2024 | 2 | View paper |
| MHT CET 2024 16TH MAY EVENING SHIFT | 2024 | 2 | View paper |
| MHT CET 2024 16TH MAY MORNING SHIFT | 2024 | 2 | View paper |
| MHT CET 2024 2ND MAY EVENING SHIFT | 2024 | 2 | View paper |
| MHT CET 2024 2ND MAY MORNING SHIFT | 2024 | 3 | View paper |
| MHT CET 2024 3RD MAY EVENING SHIFT | 2024 | 2 | View paper |
| MHT CET 2024 3RD MAY MORNING SHIFT | 2024 | 2 | View paper |
| MHT CET 2024 4TH MAY EVENING SHIFT | 2024 | 3 | View paper |
| MHT CET 2024 4TH MAY MORNING SHIFT | 2024 | 2 | View paper |
| MHT CET 2024 9TH MAY EVENING SHIFT | 2024 | 3 | View paper |
| MHT CET 2024 9TH MAY MORNING SHIFT | 2024 | 2 | View paper |
| MHT CET 2023 10TH MAY EVENING SHIFT | 2023 | 3 | View paper |
| MHT CET 2023 10TH MAY MORNING SHIFT | 2023 | 2 | View paper |
| MHT CET 2023 11TH MAY EVENING SHIFT | 2023 | 2 | View paper |
| MHT CET 2023 11TH MAY MORNING SHIFT | 2023 | 3 | View paper |
| MHT CET 2023 12TH MAY EVENING SHIFT | 2023 | 2 | View paper |
| MHT CET 2023 12TH MAY MORNING SHIFT | 2023 | 2 | View paper |
| MHT CET 2023 13TH MAY EVENING SHIFT | 2023 | 2 | View paper |
| MHT CET 2023 13TH MAY MORNING SHIFT | 2023 | 2 | View paper |
| MHT CET 2023 14TH MAY EVENING SHIFT | 2023 | 3 | View paper |
| MHT CET 2023 14TH MAY MORNING SHIFT | 2023 | 1 | View paper |
| MHT CET 2023 9TH MAY EVENING SHIFT | 2023 | 2 | View paper |
| MHT CET 2023 9TH MAY MORNING SHIFT | 2023 | 2 | View paper |
| MHT CET 2022 11TH AUGUST EVENING SHIFT | 2022 | 2 | View paper |
| MHT CET 2021 20TH SEPTEMBER EVENING SHIFT | 2021 | 2 | View paper |
| MHT CET 2021 20TH SEPTEMBER MORNING SHIFT | 2021 | 2 | View paper |
| MHT CET 2021 21TH SEPTEMBER EVENING SHIFT | 2021 | 2 | View paper |
| MHT CET 2021 21TH SEPTEMBER MORNING SHIFT | 2021 | 2 | View paper |
| MHT CET 2021 22TH SEPTEMBER EVENING SHIFT | 2021 | 2 | View paper |
| MHT CET 2021 22TH SEPTEMBER MORNING SHIFT | 2021 | 2 | View paper |
| MHT CET 2021 23RD SEPTEMBER EVENING SHIFT | 2021 | 1 | View paper |
| MHT CET 2021 23th September Morning Shift | 2021 | 2 | View paper |
| MHT CET 2021 24TH SEPTEMBER EVENING SHIFT | 2021 | 2 | View paper |
| MHT CET 2021 24TH SEPTEMBER MORNING SHIFT | 2021 | 2 | View paper |
| MHT CET 2020 16TH OCTOBER EVENING SHIFT | 2020 | 2 | View paper |
| MHT CET 2020 16TH OCTOBER MORNING SHIFT | 2020 | 1 | View paper |
| MHT CET 2020 19TH OCTOBER EVENING SHIFT | 2020 | 1 | View paper |
| MHT CET 2019 2ND MAY EVENING SHIFT | 2019 | 3 | View paper |
| MHT CET 2019 2ND MAY MORNING SHIFT | 2019 | 2 | View paper |
| MHT CET 2019 3RD MAY MORNING SHIFT | 2019 | 2 | View paper |
All Limits Continuity And Differentiability previous year questions
Practice every matching question in batches of 20, with every available option.
2019 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2019 2ND MAY EVENING SHIFT
If the function $f(x)=\frac{\left(e^{k x}-1\right) \tan k x}{4 x^2}, x \neq 0$
$$\qquad \qquad=16 \qquad x=0$$
is continuous at $x=0$, then $k=\ldots \ldots$
2019 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2019 2ND MAY EVENING SHIFT
If function
$$\begin{aligned} f(x) & =x-\frac{|x|}{x}, x<0 \\ & =x+\frac{|x|}{x}, x>0 \\ & =1, \quad x=0, \text { then } \end{aligned}$$
2019 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2019 2ND MAY EVENING SHIFT
If $f(x)=[x]$, where $[x]$ is the greatest integer not greater than $x$, then $f^{\prime}\left(1^{+}\right)=$ ...........
2019 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2019 2ND MAY MORNING SHIFT
If the function $f(x)=\frac{\log (1+a x)-\log (1-b x)}{x}$ $x \neq 0$ is continuous at $x=0$ then, $f(0)=\ldots \ldots$
2019 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2019 2ND MAY MORNING SHIFT
2019 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2019 3RD MAY MORNING SHIFT
If $f(x)$ is continuous at $x=3$, where
$$\begin{aligned} f(x) & =a x+1, & \text { for } x \leq 3 \\ & =b x+3 & , \text { for } x>3 \text { then } \end{aligned}$$
2019 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2019 3RD MAY MORNING SHIFT
\(\begin{aligned} & \text { If } f(x)=\left[\tan \left(\frac{\pi}{4}+x\right)\right]^{\frac{1}{x}}, \quad x \neq 0 \\ & =k \text {, } \qquad x=0 \text { is continuous }\\ & x=0 \end{aligned}\) Then $k=$
2020 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2020 16TH OCTOBER EVENING SHIFT
2020 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2020 16TH OCTOBER EVENING SHIFT
If \(f(x)=\frac{|x|}{x}\), for \(x \neq 0\) \(=1\), for \(x=0\), then tre function is
2020 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2020 16TH OCTOBER MORNING SHIFT
The points of discontinuity of the function
$$\begin{aligned} f(x) & =\frac{1}{x-1}, \text { if } 0 \leq x \leq 2 \\ & =\frac{x+5}{x+3} \text { if } 2< x \leq 4 \end{aligned}$$
in its domain are
2020 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2020 19TH OCTOBER EVENING SHIFT
If $f(x)=\frac{1-\sin x+\cos x}{1+\sin x+\cos x}$, for $x \neq \pi$ is continuous at $x=\pi$, then $f(\pi)=$
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT
If \(f(x) = {{{4^{x - \pi }} + {4^{x - \pi }} - 2} \over {{{(x - \pi )}^2}}}\), for \(x \ne \pi\), is continuous at \(x=\pi\), then k =
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT
If \(a=\lim _\limits{n \rightarrow \infty} \frac{1+2+3+\ldots+n}{n^2}\) and \(b=\lim _\limits{n \rightarrow \infty} \frac{1^2+2^2+3^2+\ldots+n^2}{n^3}\), then
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
$$\mathop {\lim }\limits_{x \to \infty } \left( {\sqrt {{x^2} + 5x - 7} - x} \right) =$$
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
If f(x) = |x|, for x \(\in\) (\(-1,2\)), then f is discontinuous at (where [x] represents floor function)
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT
If \(\lim _\limits{x \rightarrow 5} \frac{x^k-5^k}{x-5}=500\), then the value of \(k\), where \(k \in N\) is
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT
$$\begin{aligned} & \text { } f(x)=\frac{\sqrt{1+p x}-\sqrt{1-p x}}{x} \text {, if } 1 \leq x<0 \\ & =\frac{2 x+1}{x-2} \quad \text {, if } 0 \leq x \leq 1 \\ \end{aligned}$$
is continuous in the interval \([-1,1]\), then \(p=\)
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
$$\begin{aligned} & \text { If the function } \mathrm{f}(\mathrm{x})=1+\sin \frac{\pi}{2}, \quad-\infty<\mathrm{x} \leq 1 \\ & =\mathrm{ax}+\mathrm{b}, \quad 1<\mathrm{x}<3 \\ & =6 \tan \frac{x \pi}{12}, \quad 3 \leq x<6 \\ \end{aligned}$$
is continuous in \((-\infty, 6)\), then the values of \(\mathrm{a}\) and \(\mathrm{b}\) are respectively.
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT
Let
$$\begin{aligned} f(x) & =x+a \sqrt{2} \sin x & & , 0 \leq x<\frac{\pi}{4} \\ & =2 x \cot x+b & & \frac{\pi}{4} \leq x<\frac{\pi}{2} \\ & =a \cos 2 x-b \sin x & & \frac{\pi}{2} \leq x \leq \pi \end{aligned}$$
If \(\mathrm{f}(\mathrm{x})\) is continuous for \(0 \leq \mathrm{x} \leq \pi\), then
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